Holographic Reciprocal Expansion Effect (H-REE): The Geometric Stiffness of the Sound Horizon and the Resolution of the S8 Tension via Mass Fading

Title: Thermodynamic Gravity and the Holographic Capacitor: Observational Constraints on Reciprocal Mass Fading and the Resolution of the S8 Tension Authors/Creators: Shandil, A J (Researcher) Description: Abstract The standard ΛCDM cosmological model is increasingly challenged by persistent anomalies: the H0 (Expansion) tension, the S8 (Clustering) tension, and the theoretical Coincidence Problem. Attempts to resolve these anomalies simultaneously via dynamic dark sector physics frequently suffer from a "hydraulic see-saw" effect. In this work—Part I of a two-part unified framework—we explicitly decouple these tensions by subjecting the Holographic Reciprocal Expansion Effect (H-REE) to high-precision Markov Chain Monte Carlo (MCMC) analysis. Utilizing a "Grand Unification" dataset (Planck 2018, DESI 2024 BAO, Pantheon+ SNIa, and DES Y1), we demonstrate that while the background geometry of the universe is rigidly stiff, the dark sector mass undergoes a late-time phase transition (z≈0.16). We model this via a macroscopic Dissipative Effective Field Theory (EFT) wherein the vacuum acts as a "Holographic Capacitor," storing the entropic waste heat of early structure formation and delaying its discharge to cleanly resolve the S8 tension and the Coincidence Problem. Primer: What is the H-REE & The Holographic Capacitor? In standard cosmology, Dark Matter and Dark Energy (Λ) are treated as entirely separate entities. The H-REE framework proposes they are thermodynamically coupled. The universe acts as a "Holographic Capacitor." The immense thermodynamic waste heat of early galaxy formation (Cosmic Noon, z∼2) charges the vacuum. Due to hysteresis, this energy is stored and delayed until baryonic mass accumulation plateaus at z≈0.16. At this epoch, the capacitor discharges, causing Dark Matter to undergo "Mass Fading"—sublimating its rest mass into the vacuum. Dark Energy dominates today not by coincidence, but because baryonic matter collapsed yesterday. Frequently Asked Questions (Q&A) 📊 Does this model solve the Hubble (H0) Tension? No, and our data mathematically proves late-time dynamics cannot. We subjected our model to a direct stress test by force-feeding the MCMC sampler an informative local SH0ES prior (H0=73). The model absolutely refused to shift, remaining anchored to the CMB (H0≈68) and absorbing a massive likelihood penalty (Δχ2≈+16.7). This "Stiffness Proof" explicitly isolates the H0 tension as either a local calibration artifact or strictly pre-recombination physics. 📉 How does it resolve the Clustering (S8) Tension? Freed from local priors, the uninformative baseline run yields a statistically highly competitive fit to standard ΛCDM. The MCMC chains isolate a sharp phase transition at z≈0.16 where Dark Matter begins actively losing rest mass ("Mass Fading," ξfade≈2.42). Because dark matter particles are becoming lighter today, the gravitational potential wells of galaxy clusters physically shallow out, shaving off the excess clustering amplitude perfectly (S8=0.792). 🌌 What about the Core-Cusp Problem and JWST? Kinematically, as dark matter loses mass, local momentum conservation requires galactic halos to undergo adiabatic expansion (r∝1/m). This "puffing up" naturally dilutes central dark matter densities, resolving the longstanding Core-Cusp problem. Furthermore, the geometric "stiffness" of the early universe provides the exact zero-friction kinematic environment required to explain JWST’s recent observations of ultra-massive early galaxies. Repository Contents & Links This record contains the full observational dataset, the primary manuscript, the raw Cobaya MCMC chain files (.txt), and the PySR machine-learning validation scripts for full reproduction. Companion Paper (Part II): The World-Sphaleron and the Quantum Bounce.